22007631744 has 256 divisors, whose sum is σ = 74975385600. Its totient is φ = 6224947200.

The previous prime is 22007631721. The next prime is 22007631749. The reversal of 22007631744 is 44713670022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22007631699 and 22007631708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22007631749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2438889 + ... + 2447895.

It is an arithmetic number, because the mean of its divisors is an integer number (292872600).

Almost surely, 2^22007631744 is an apocalyptic number.

22007631744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22007631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37487692800).

22007631744 is an abundant number, since it is smaller than the sum of its proper divisors (52967753856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22007631744 is a wasteful number, since it uses less digits than its factorization.

22007631744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 22007631744 in words is "twenty-two billion, seven million, six hundred thirty-one thousand, seven hundred forty-four".